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Finding the Fourth Proportional to 7,164.70, 10,734.34 and 6,114.04

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Solution

The fourth proportional to 7,164.70, 10,734.34 and 6,114.04 is: 9,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.70 : 10,734.34 = 6,114.04 : x
  2. Step 2: Convert to fraction form
    7,164.70/10,734.34 = 6,114.04/x
  3. Step 3: Cross multiply
    7,164.70x = 10,734.34 × 6,114.04
  4. Step 4: Simplify right side
    7,164.70x = 65,630,184.13
  5. Step 5: Solve for x
    x = 65,630,184.13/7,164.70
  6. Step 6: Final answer
    x = 9,160.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.